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Table 4 Fitting of the global alignment scores of the LS sequence set generated with different window sizes. The sequence length is 200aa and all alignments were carried out with the BLOSUM62 matrix with an affine gap penalty of -7/-1. Global alignment scores were fitted to the gamma and normal distribution respectively.

From: Statistical distributions of optimal global alignment scores of random protein sequences

window fitted gamma distribution fitted normal distribution score
size γ λ μ d.f. χ 2 p-value d.f. χ 2 mean variance
5aa 13.90 0.39 -40.14 9 9.82 0.36 10 239.33 -4.73 90.14
10aa 11.19 0.37 -29.01 10 12.13 0.28 11 236.91 0.99 80.40
15aa 10.60 0.35 -20.57 8 9.31 0.32 9 277.47 9.60 85.90
20aa 10.28 0.36 -16.85 13 17.04 0.19 14 334.87 11.93 80.56